The generator matrix

 1  0  1  1  1  1 2X^2+X  1  1  1 2X  1  1  1 2X^2+X  1  1  1 2X^2  1  1 2X^2+2X  1  1  X  1  1  1  1  1  1 X^2  1  1  1  1  1 2X^2+X 2X  1  1  1  1  1  1  1  1  1  0  1  1  1 2X^2+X  1 2X^2+2X  1  0 X^2  1  1  1  1  1  0  1 2X  1  1  1  1 X^2  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2X  X  1  1  1  0  1  1
 0  1  1  2 2X^2+X 2X^2+X+2  1 2X^2+2X+1 2X+2 2X  1 X+1 2X^2+1  0  1 2X^2+2 2X^2+2X+1 2X^2+X  1  2 2X  1 2X+1 X+2  1 2X^2+X+1 2X+2 2X^2+X+2  X  1 X^2  1 2X^2+X 2X^2+1  2 2X X+1  1  1 2X^2+2X+2  0 2X^2+X+2 2X^2+X+1 2X^2+2X 2X^2 X^2+X+2 2X^2+2 2X^2+2X+1  1 X^2+X+1 2X^2+X+2 X^2+X  1 2X^2+X  1 X^2  1  1  1 2X^2+2X+2 2X^2+2X+1 X^2+X+1  0  1 X^2+2X+1  1 2X^2+2X X^2+X 2X^2+X 2X  1 X+1 2X^2+2X 2X^2+2X X+1 2X^2+1 2X^2+2X 2X+2 X+1 2X^2+2 X^2+X+1 2X^2+2X+2  1  1 X+1  1  1 2X^2+2X+1 2X^2+1 2X^2+X+2  1 2X+2  0
 0  0 2X  0  0 2X^2 2X^2 2X^2  0 X^2  0 2X^2 2X^2 2X^2+2X 2X^2+2X X^2+X X^2+2X 2X^2+2X X^2+X 2X^2+2X X^2+2X X^2+X  X  X  X X^2+X 2X^2+2X X^2+2X  X X^2+X X^2+X  X X^2 X^2+2X 2X^2 2X^2+2X 2X X^2+2X 2X  X X^2 X^2  X  X X^2 X^2+X X^2+X 2X  0 2X^2 X^2+2X X^2+X 2X^2 X^2 2X  X 2X 2X^2 2X^2+2X 2X^2 X^2 2X^2+2X 2X X^2 2X X^2+X 2X^2+2X 2X^2+X 2X  0 2X^2+X  0  X 2X^2+X X^2+2X X^2+X X^2+2X 2X X^2+X 2X^2 X^2 2X 2X^2+X 2X^2+2X 2X^2 2X^2 2X^2+2X  X 2X^2 2X^2  X X^2+2X 2X^2
 0  0  0 X^2  0  0  0 2X^2 2X^2  0  0 X^2 2X^2  0  0  0  0  0 2X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 X^2  0 X^2 X^2 2X^2  0 2X^2 X^2  0 X^2  0 X^2  0 2X^2  0 2X^2 X^2  0 2X^2 X^2 X^2  0 X^2 X^2 2X^2 2X^2 2X^2 X^2  0 X^2 X^2  0 2X^2 X^2 X^2  0  0 X^2 2X^2  0 2X^2  0 X^2 2X^2  0 2X^2 X^2 2X^2 2X^2 2X^2  0 X^2 X^2  0 2X^2  0 X^2 X^2 2X^2 X^2  0 2X^2 2X^2  0
 0  0  0  0 2X^2 2X^2 X^2 X^2 X^2 X^2 2X^2  0  0 X^2 2X^2  0 2X^2 2X^2 2X^2 2X^2  0  0 2X^2 X^2 X^2  0  0 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2  0 2X^2 X^2 X^2 X^2 2X^2  0  0  0  0 2X^2 2X^2 2X^2  0 2X^2  0 X^2 X^2 X^2 2X^2 X^2  0 2X^2 X^2 X^2  0 X^2 X^2 2X^2 X^2 X^2 2X^2  0  0 2X^2 X^2 X^2 2X^2 2X^2 2X^2  0 X^2  0 X^2  0 2X^2 2X^2 X^2  0 2X^2 X^2 2X^2  0 2X^2 X^2 X^2 X^2 X^2

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+114x^174+132x^175+498x^176+1080x^177+750x^178+1692x^179+3434x^180+1374x^181+3534x^182+5372x^183+2682x^184+5118x^185+6520x^186+3588x^187+5280x^188+6638x^189+2382x^190+3300x^191+2884x^192+576x^193+792x^194+574x^195+72x^196+90x^197+126x^198+30x^199+72x^200+106x^201+30x^202+18x^203+86x^204+36x^205+12x^206+14x^207+12x^208+6x^209+14x^210+2x^213+2x^216+4x^219+2x^228

The gray image is a linear code over GF(3) with n=837, k=10 and d=522.
This code was found by Heurico 1.16 in 15.7 seconds.